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Finding the Fourth Proportional to 10,701.90, 16,051.94 and 3,681.54

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Solution

The fourth proportional to 10,701.90, 16,051.94 and 3,681.54 is: 5,522.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701.90 : 16,051.94 = 3,681.54 : x
  2. Step 2: Convert to fraction form
    10,701.90/16,051.94 = 3,681.54/x
  3. Step 3: Cross multiply
    10,701.90x = 16,051.94 × 3,681.54
  4. Step 4: Simplify right side
    10,701.90x = 59,095,859.19
  5. Step 5: Solve for x
    x = 59,095,859.19/10,701.90
  6. Step 6: Final answer
    x = 5,522.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.